What is 72/74 Divided By 6/7

Solving $\frac{72}{74}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{74} \div \frac{6}{7} = \frac{72}{74} \times \frac{7}{6}$

• Multiply the Numerators: $72 \times 7 = 504$
• Multiply the Denominators: $74 \times 6 = 444$
• Form the New Fraction: $\frac{72}{74} \times \frac{6}{7} = \frac{504}{444}$

Let's Simplify $\frac{504}{444}$

• Find the Greatest Common Divisor (GCD) of $504$ and $444$. The GCD of $504$ and $444$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{504 \div 12}{444 \div 12} = \frac{42}{37}$

Answer $\frac{72}{74}\div\frac{6}{7} = \frac{42}{37}$

The following animation demonstrates the divide-by,